Summations in Bernoulli's triangles via generating functions
Journal of integer sequences, Tome 20 (2017) no. 1
We revisit sums along straight lines of indices in Bernoulli triangles, and emphasize the use of generating functions as the appropriate tool. This leads to more direct and extended results, compared with a recent paper in this journal.
Classification :
05A15, 05A19, 11B39
Keywords: Bernoulli triangle, generating function, diagonal of a double power series
Keywords: Bernoulli triangle, generating function, diagonal of a double power series
@article{JIS_2017__20_1_a6,
author = {Oliver, Kamilla and Prodinger, Helmut},
title = {Summations in {Bernoulli's} triangles via generating functions},
journal = {Journal of integer sequences},
year = {2017},
volume = {20},
number = {1},
zbl = {1352.05016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_1_a6/}
}
Oliver, Kamilla; Prodinger, Helmut. Summations in Bernoulli's triangles via generating functions. Journal of integer sequences, Tome 20 (2017) no. 1. http://geodesic.mathdoc.fr/item/JIS_2017__20_1_a6/